Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control
Optimization and Control
2025-05-29 v4
Abstract
We investigate different turnpike phenomena of generalized discrete-time stochastic linear-quadratic optimal control problems. Our analysis is based on a novel strict dissipativity notion for such problems, in which a stationary stochastic process replaces the optimal steady state of the deterministic setting. We show that from this time-varying dissipativity notion, we can conclude turnpike behaviors concerning different objects like distributions, moments, or sample paths of the stochastic system and that the distributions of the stationary pair can be characterized by a stationary optimization problem. The analytical findings are illustrated by numerical simulations.
Cite
@article{arxiv.2309.05422,
title = {Turnpike and dissipativity in generalized discrete-time stochastic linear-quadratic optimal control},
author = {Jonas Schießl and Ruchuan Ou and Timm Faulwasser and Michael Heinrich Baumann and Lars Grüne},
journal= {arXiv preprint arXiv:2309.05422},
year = {2025}
}